491258880 has 264 divisors, whose sum is σ = 1946647872. Its totient is φ = 112214016.

The previous prime is 491258857. The next prime is 491258897. The reversal of 491258880 is 88852194.

It is a happy number.

491258880 is a `hidden beast` number, since 491 + 2 + 5 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321799 + ... + 323321.

Almost surely, 2^491258880 is an apocalyptic number.

491258880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973323936).

491258880 is an abundant number, since it is smaller than the sum of its proper divisors (1455388992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

491258880 is a wasteful number, since it uses less digits than its factorization.

491258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 491258880 is about 22164.3605817989. The cubic root of 491258880 is about 789.0480870131.

The spelling of 491258880 in words is "four hundred ninety-one million, two hundred fifty-eight thousand, eight hundred eighty".